| Refs | {'start': {'reference': '31', 'human_reference': 'Paragraph 31'}, 'end': {'reference': '35', 'human_reference': 'Paragraph 35'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| αα | 1 | w | 2 |
| ααα | 1 | w | 5 |
| αααα | 1 | w | 9 |
| αα | 7 | w | 11 |
| ααα | 4 | w | 14 |
| αααα | 2 | w | 18 |
| ααα | 7 | w | 21 |
| αααα | 3 | w | 25 |
| κατὰ | 1 | w | 29 |
| ταὐτὰ | 1 | w | 34 |
| δὲ | 1 | w | 36 |
| ἂν | 1 | w | 38 |
| μὴ | 1 | w | 40 |
| μόνον | 1 | w | 45 |
| τοὺς | 1 | w | 49 |
| ἐφεξῆς | 1 | w | 55 |
| ἀρτίους | 1 | w | 62 |
| 2 | 1 | w | 63 |
| γὰρ | 1 | w | 66 |
| suppra | 1 | w | 72 |
| vs | 1 | w | 74 |
| A | 1 | w | 76 |
| 5 | 1 | w | 78 |
| περιθῇς | 1 | w | 85 |
| Bull | 1 | w | 89 |
| προσθῆς | 1 | w | 98 |
| A | 2 | w | 99 |
| τοῖς | 1 | w | 103 |
| πρώτοις | 1 | w | 110 |
| τοῖς | 2 | w | 115 |
| ϛ | 1 | w | 116 |
| cf | 1 | w | 119 |
| vs | 2 | w | 122 |
| 1 | 1 | w | 124 |
| 6 | 1 | w | 125 |
| ταῦτα | 1 | w | 130 |
| del | 1 | w | 133 |
| vid | 1 | w | 137 |
| 8 | 1 | w | 139 |
| fig | 1 | w | 142 |
| semper | 1 | w | 149 |
| lineis | 1 | w | 155 |
| circumscr | 1 | w | 164 |
| A | 3 | w | 166 |
| 14 | 1 | w | 169 |
| περιθῇς | 2 | w | 176 |
| Gelder | 1 | w | 182 |
| 22 | 1 | w | 184 |
| ταυτὰ | 1 | w | 189 |
| corr | 1 | w | 193 |
| ex | 1 | w | 196 |
| ταῦτα | 2 | w | 201 |
| A | 4 | w | 202 |
| μηδὲ | 1 | w | 206 |
| μόνον | 2 | w | 211 |
| τοὺς | 2 | w | 215 |
| ἐφεξῆς | 2 | w | 221 |
| περισσούς | 1 | w | 230 |
| ἀλλὰ | 1 | w | 235 |
| καὶ | 1 | w | 238 |
| ἀρτίους | 2 | w | 245 |
| καὶ | 2 | w | 248 |
| περισσοὺς | 1 | w | 257 |
| ἀλλήλοις | 1 | w | 265 |
| ἐπισυντιθῶμεν | 1 | w | 278 |
| τρίγωνοι | 1 | w | 287 |
| ἡμῖν | 1 | w | 291 |
| ἀριθμοὶ | 1 | w | 298 |
| γενήσονται | 1 | w | 308 |
| ἐκκείσθωσαν | 1 | w | 320 |
| γὰρ | 2 | w | 323 |
| ἐφεξῆς | 3 | w | 329 |
| περισσοὶ | 1 | w | 337 |
| καὶ | 3 | w | 340 |
| ἄρτιοι | 1 | w | 346 |
| α | 38 | w | 348 |
| β | 1 | w | 349 |
| γ | 5 | w | 350 |
| δ | 3 | w | 351 |
| ε | 12 | w | 352 |
| Ϛ | 1 | w | 353 |
| ζ | 1 | w | 354 |
| η | 2 | w | 355 |
| θ | 7 | w | 356 |
| ι | 15 | w | 357 |
| γίνονται | 1 | w | 366 |
| κατὰ | 2 | w | 370 |
| τὴν | 1 | w | 373 |
| τούτων | 1 | w | 379 |
| σύνθεσιν | 1 | w | 387 |
| οἱ | 1 | w | 389 |
| τρίγωνοι | 2 | w | 397 |
| πρώτη | 1 | w | 403 |
| μὲν | 1 | w | 406 |
| ἡ | 2 | w | 407 |
| μονάς | 1 | w | 412 |
| αὕτη | 1 | w | 417 |
| γάρ | 1 | w | 420 |
| εἰ | 1 | w | 423 |
| καὶ | 4 | w | 426 |
| μὴ | 2 | w | 428 |
| ἐντελεχείᾳ | 1 | w | 438 |
| δυνάμει | 1 | w | 446 |
| πάντα | 1 | w | 451 |
| ἐστίν | 1 | w | 456 |
| ἀρχὴ | 1 | w | 461 |
| πάντων | 1 | w | 467 |
| ἀριθμῶν | 1 | w | 474 |
| οὖσα | 1 | w | 478 |
| τῆς | 1 | w | 482 |
| δὲ | 3 | w | 484 |
| ἑξῆς | 1 | w | 488 |
| αὐτῇ | 1 | w | 492 |
| δυάδος | 1 | w | 498 |
| προστεθείσης | 1 | w | 510 |
| γίνεται | 1 | w | 517 |
| τρίγωνος | 1 | w | 525 |
| ὁ | 1 | w | 526 |
| γ | 11 | w | 527 |
| εἶτα | 1 | w | 532 |
| πρόσθες | 1 | w | 539 |
| γ | 12 | w | 540 |
| γίνεται | 2 | w | 548 |
| Ϛ | 2 | w | 549 |
| εἶτα | 2 | w | 554 |
| πρόσθες | 2 | w | 561 |
| δ | 8 | w | 562 |
| γίνονται | 2 | w | 571 |
| ι | 24 | w | 572 |
| εἶτα | 3 | w | 577 |
| πρόσθες | 3 | w | 584 |
| ε | 29 | w | 585 |
| γίνονται | 3 | w | 594 |
| ιε | 1 | w | 596 |
| εἶτα | 4 | w | 601 |
| πρόσθες | 4 | w | 608 |
| ϛ | 2 | w | 609 |
| γίνονται | 4 | w | 618 |
| κα | 7 | w | 620 |
| εἶτα | 5 | w | 625 |
| πρόσθες | 5 | w | 632 |
| ζ | 2 | w | 633 |
| γίνονται | 5 | w | 642 |
| κη | 1 | w | 644 |
| εἶτα | 6 | w | 649 |
| πρόσθες | 6 | w | 656 |
| η | 7 | w | 657 |
| γίνονται | 6 | w | 666 |
| λϚ | 1 | w | 668 |
| εἶτα | 7 | w | 673 |
| πρόσθες | 7 | w | 680 |
| θ | 18 | w | 681 |
| γίνονται | 7 | w | 690 |
| με | 3 | w | 692 |
| εἶτα | 8 | w | 697 |
| πρόσθες | 8 | w | 704 |
| ι | 31 | w | 705 |
| γίνον- | 1 | w | 712 |
| ται | 11 | w | 715 |
| νε | 3 | w | 717 |
| καὶ | 5 | w | 721 |
| μέχρις | 1 | w | 727 |
| ἀπείρου | 1 | w | 734 |
| ὁ | 2 | w | 735 |
| αὐτὸς | 1 | w | 740 |
| λόγος | 1 | w | 745 |
| δῆλον | 1 | w | 751 |
| δὲ | 4 | w | 753 |
| ὅτι | 1 | w | 756 |
| τρίγωνοι | 3 | w | 764 |
| οὗτοι | 1 | w | 769 |
| οἱ | 2 | w | 771 |
| ἀριθμοὶ | 2 | w | 778 |
| κατὰ | 3 | w | 782 |
| τὸν | 1 | w | 785 |
| σχηματισμόν | 1 | w | 796 |
| τοῖς | 3 | w | 801 |
| πρώτοις | 2 | w | 808 |
| ἀριθμοῖς | 1 | w | 816 |
| τοῦ | 1 | w | 819 |
| ἐφεξῆς | 4 | w | 825 |
| γνώμονος | 1 | w | 833 |
| προστιθε- | 1 | w | 842 |
| μένου | 1 | w | 847 |
| καὶ | 6 | w | 851 |
| εἶεν | 1 | w | 855 |
| ἂν | 2 | w | 857 |
| οἱ | 3 | w | 859 |
| ἐκ | 2 | w | 861 |
| τῆς | 2 | w | 864 |
| ἐπισυνθέσεως | 1 | w | 876 |
| ἀπογεννώ- | 1 | w | 885 |
| μενοι | 1 | w | 890 |
| τρίγωνοι | 4 | w | 898 |
| οἵδε | 1 | w | 902 |
| γ | 26 | w | 904 |
| Ϛ | 4 | w | 905 |
| ι | 45 | w | 906 |
| ιε | 2 | w | 908 |
| κα | 11 | w | 910 |
| κη | 2 | w | 912 |
| λς | 1 | w | 914 |
| με | 5 | w | 916 |
| νε | 4 | w | 918 |
| καὶ | 7 | w | 922 |
| οὕτως | 1 | w | 927 |
| ἐπὶ | 1 | w | 930 |
| τῶν | 1 | w | 933 |
| ἑξῆς | 2 | w | 937 |
| τῶν | 2 | w | 940 |
| με | 6 | w | 942 |
| καὶ | 8 | w | 945 |
| νε | 5 | w | 947 |
| 4 | 2 | w | 949 |
| γίνωνται | 1 | w | 957 |
| A1 | 1 | w | 959 |
| 6 | 2 | w | 960 |
| ἐντελεχεία | 1 | w | 970 |
| corr | 2 | w | 974 |
| ex | 2 | w | 977 |
| ἐντελέχεια | 1 | w | 987 |
| A | 6 | w | 988 |
| 10 | 1 | w | 991 |
| γίνονται | 8 | w | 999 |
| κα | 14 | w | 1001 |
| γίνονται | 9 | w | 1010 |
| compendio | 1 | w | 1019 |
| scr | 2 | w | 1022 |
| A | 7 | w | 1024 |
| ut | 1 | w | 1026 |
| in | 2 | w | 1028 |
| sequentibus | 1 | w | 1039 |
| 18 | 1 | w | 1041 |
| τῶν | 3 | w | 1044 |
| με | 7 | w | 1046 |
| καὶ | 9 | w | 1049 |
| νε | 6 | w | 1051 |
| del | 2 | w | 1054 |
| vid | 2 | w | 1058 |
| οἱ | 4 | w | 1061 |
| δὲ | 5 | w | 1063 |
| τετράγωνοι | 1 | w | 1073 |
| γεννῶνται | 1 | w | 1082 |
| μέν | 2 | w | 1085 |
| ὡς | 1 | w | 1088 |
| προείρηται | 1 | w | 1098 |
| ἐκ | 3 | w | 1101 |
| τῶν | 4 | w | 1104 |
| ἐφεξῆς | 5 | w | 1110 |
| ἀπὸ | 1 | w | 1113 |
| μονάδος | 1 | w | 1120 |
| περιττῶν | 1 | w | 1128 |
| ἀλλήλοις | 2 | w | 1136 |
| ἐπισυντι- | 1 | w | 1145 |
| θεμένων | 1 | w | 1152 |
| συμβέβηκε | 1 | w | 1162 |
| δὲ | 6 | w | 1164 |
| αὐτοῖς | 1 | w | 1170 |
| ὥστε | 1 | w | 1174 |
| ἐναλλὰξ | 1 | w | 1181 |
| παῤ | 1 | w | 1184 |
| ἕνα | 1 | w | 1187 |
| ἀρτίοις | 1 | w | 1194 |
| εἶναι | 1 | w | 1199 |
| καὶ | 10 | w | 1202 |
| περιττοῖς | 1 | w | 1211 |
| ὥσπερ | 1 | w | 1217 |
| ὁ | 3 | w | 1218 |
| πᾶς | 1 | w | 1221 |
| ἀριθμὸς | 1 | w | 1228 |
| παῤ | 2 | w | 1231 |
| ἕνα | 2 | w | 1234 |
| ἄρτιός | 1 | w | 1240 |
| ἐστιν | 1 | w | 1245 |
| ἢ | 1 | w | 1246 |
| περιττός | 1 | w | 1254 |
| οἷον | 1 | w | 1259 |
| α | 89 | w | 1260 |
| δ | 15 | w | 1261 |
| θ | 26 | w | 1262 |
| ις | 7 | w | 1264 |
| κε | 3 | w | 1266 |
| λϚ | 2 | w | 1268 |
| μθ | 1 | w | 1270 |
| ξδ | 1 | w | 1272 |
| πα | 3 | w | 1274 |
| ρ | 48 | w | 1275 |
| τῇ | 2 | w | 1278 |
| δὲ | 7 | w | 1280 |
| ἀπὸ | 2 | w | 1283 |
| μονάδος | 2 | w | 1290 |
| κατὰ | 4 | w | 1294 |
| τὸ | 3 | w | 1296 |
| ἐξῆς | 1 | w | 1300 |
| ἐκθέσει | 1 | w | 1307 |
| τῶν | 6 | w | 1310 |
| ἀρτίων | 1 | w | 1316 |
| τε | 7 | w | 1318 |
| καὶ | 11 | w | 1321 |
| περιττῶν | 2 | w | 1329 |
| ἀριθμῶν | 2 | w | 1336 |
| συμβέβηκε | 2 | w | 1345 |
| τοὺς | 3 | w | 1350 |
| γνώμονας | 1 | w | 1358 |
| τοὺς | 4 | w | 1362 |
| δυάδι | 1 | w | 1367 |
| ἀλλήλων | 1 | w | 1374 |
| ὑπερέχοντας | 1 | w | 1385 |
| ἐν | 5 | w | 1387 |
| τῇ | 3 | w | 1389 |
| συν- | 1 | w | 1393 |
| θέσει | 2 | w | 1398 |
| τετραγώνους | 1 | w | 1409 |
| ἀποτελεῖν | 1 | w | 1418 |
| ὡς | 2 | w | 1421 |
| ἐπάνω | 1 | w | 1426 |
| ἀποδέδεικται | 1 | w | 1438 |
| ὑπερέχουσι | 1 | w | 1449 |
| γὰρ | 3 | w | 1452 |
| δυάδι | 2 | w | 1457 |
| ἀλλήλων | 2 | w | 1464 |
| ἀπὸ | 3 | w | 1467 |
| μονάδος | 3 | w | 1474 |
| ἀρχόμενοι | 1 | w | 1483 |
| οἱ | 5 | w | 1486 |
| περιττοί | 1 | w | 1495 |
| ὁμοίως | 1 | w | 1502 |
| δὲ | 8 | w | 1504 |
| οἱ | 6 | w | 1506 |
| τριάδι | 1 | w | 1512 |
| ἀλλήλων | 3 | w | 1519 |
| ὑπερέχον- | 1 | w | 1528 |
| τες | 1 | w | 1531 |
| ἐν | 6 | w | 1533 |
| τῇ | 4 | w | 1535 |
| συνθέσει | 1 | w | 1543 |
| ἀπὸ | 4 | w | 1546 |
| μονάδος | 4 | w | 1553 |
| πενταγώνους | 1 | w | 1564 |
| ἀποτε- | 1 | w | 1570 |
| λοῦσιν | 1 | w | 1576 |
| ἑξαγώνους | 1 | w | 1586 |
| δὲ | 9 | w | 1588 |
| οἱ | 7 | w | 1590 |
| τετράδι | 1 | w | 1597 |
| αἰεί | 1 | w | 1602 |
| τε | 13 | w | 1604 |
| ἡ | 3 | w | 1605 |
| ὑπεροχὴ | 1 | w | 1612 |
| τῶν | 8 | w | 1615 |
| γνωμόνων | 1 | w | 1623 |
| ἐξ | 2 | w | 1625 |
| ὧν | 1 | w | 1627 |
| ἀποτελοῦνται | 1 | w | 1639 |
| οἱ | 8 | w | 1641 |
| πολύγωνοι | 1 | w | 1650 |
| δυάδι | 3 | w | 1655 |
| λείπεται | 1 | w | 1663 |
| τοῦ | 2 | w | 1666 |
| πλήθους | 1 | w | 1673 |
| τῶν | 9 | w | 1676 |
| ἀποτελουμένων | 1 | w | 1689 |
| γωνιῶν | 1 | w | 1695 |
| ἑτέρα | 1 | w | 1701 |
| δὲ | 10 | w | 1703 |
| πάλιν | 1 | w | 1708 |
| ἐστὶ | 1 | w | 1712 |
| τάξις | 1 | w | 1717 |
| ἐν | 7 | w | 1719 |
| τοῖς | 6 | w | 1723 |
| πολυγώνοις | 1 | w | 1733 |
| τῶν | 10 | w | 1736 |
| ἀπὸ | 5 | w | 1739 |
| μονάδος | 5 | w | 1746 |
| πολλαπλασίων | 1 | w | 1758 |
| ἀριθμῶν | 3 | w | 1765 |
| τῶν | 11 | w | 1769 |
| γὰρ | 4 | w | 1772 |
| ἀπὸ | 6 | w | 1775 |
| μονάδος | 6 | w | 1782 |
| πολλαπλασίων | 2 | w | 1794 |
| λέγω | 1 | w | 1799 |
| δὲ | 11 | w | 1801 |
| διπλασίων | 1 | w | 1810 |
| τριπλασίων | 1 | w | 1820 |
| καὶ | 12 | w | 1823 |
| τῶν | 12 | w | 1826 |
| ἑξῆς | 3 | w | 1830 |
| οἱ | 9 | w | 1833 |
| μὲν | 2 | w | 1836 |
| ἕνα | 3 | w | 1839 |
| παῤ | 3 | w | 1842 |
| ἕνα | 4 | w | 1845 |
| διαλείποντες | 1 | w | 1857 |
| ἀριθμοὶ | 3 | w | 1864 |
| τετράγωνοι | 2 | w | 1874 |
| πάντες | 1 | w | 1880 |
| εἰσίν | 1 | w | 1885 |
| οἱ | 10 | w | 1888 |
| δὲ | 12 | w | 1890 |
| δύο | 1 | w | 1893 |
| διαλείποντες | 2 | w | 1905 |
| κύβοι | 1 | w | 1910 |
| πάντες | 2 | w | 1916 |
| οἱ | 11 | w | 1919 |
| δὲ | 13 | w | 1921 |
| πέντε | 1 | w | 1926 |
| διαλείποντες | 3 | w | 1938 |
| κύβοι | 2 | w | 1943 |
| ἅμα | 1 | w | 1946 |
| καὶ | 13 | w | 1949 |
| τετρά- | 1 | w | 1955 |
| γωνοί | 1 | w | 1960 |
| εἰσι | 1 | w | 1964 |
| καὶ | 14 | w | 1967 |
| τὰς | 1 | w | 1970 |
| μὲν | 3 | w | 1973 |
| πλευρὰς | 1 | w | 1980 |
| ἔχουσι | 1 | w | 1986 |
| τετραγώνους | 2 | w | 1997 |
| 1 | 6 | w | 1998 |
| inscr | 1 | w | 2003 |
| κερὶ | 1 | w | 2008 |
| τῶν | 13 | w | 2011 |
| ἑξῆς | 4 | w | 2015 |
| πολυγώνων | 1 | w | 2024 |
| A | 8 | w | 2025 |
| κα | 22 | w | 2028 |
| in | 4 | w | 2030 |
| mg | 1 | w | 2032 |
| α | 121 | w | 2034 |
| γ | 47 | w | 2035 |
| ε | 119 | w | 2036 |
| ζ | 3 | w | 2037 |
| θ | 35 | w | 2038 |
| in | 5 | w | 2040 |
| mg | 2 | w | 2042 |
| A | 9 | w | 2044 |
| προείρηται | 2 | w | 2054 |
| p | 5 | w | 2056 |
| 28 | 1 | w | 2059 |
| 3 | 1 | w | 2061 |
| 32 | 1 | w | 2064 |
| 9 | 1 | w | 2066 |
| 5 | 2 | w | 2067 |
| in | 6 | w | 2069 |
| mg | 3 | w | 2071 |
| sup | 2 | w | 2075 |
| cod | 1 | w | 2079 |
| A | 10 | w | 2081 |
| haec | 1 | w | 2085 |
| scripta | 1 | w | 2092 |
| sunt | 1 | w | 2096 |
| α | 123 | w | 2098 |
| β | 8 | w | 2099 |
| γ | 48 | w | 2100 |
| δ | 44 | w | 2101 |
| ε | 121 | w | 2102 |
| Ϛ | 6 | w | 2103 |
| ζ | 4 | w | 2104 |
| η | 14 | w | 2105 |
| θ | 36 | w | 2106 |
| ι | 103 | w | 2107 |
| δ | 45 | w | 2109 |
| θ | 37 | w | 2110 |
| ιϚ | 1 | w | 2112 |
| κε | 6 | w | 2114 |
| τετράγωνοι | 3 | w | 2124 |
| α | 124 | w | 2125 |
| β | 9 | w | 2126 |
| γ | 50 | w | 2127 |
| δ | 46 | w | 2128 |
| ε | 124 | w | 2129 |
| Ϛ | 8 | w | 2130 |
| ζ | 5 | w | 2131 |
| η | 15 | w | 2132 |
| θ | 38 | w | 2133 |
| ι | 106 | w | 2134 |
| ιβ | 1 | w | 2136 |
| ιγ | 1 | w | 2138 |
| ε | 125 | w | 2139 |
| ιβ | 2 | w | 2141 |
| κβ | 1 | w | 2143 |
| λε | 9 | w | 2145 |
| πεντάγωνοι | 1 | w | 2155 |
| α | 125 | w | 2156 |
| β | 13 | w | 2157 |
| γ | 53 | w | 2158 |
| δ | 47 | w | 2159 |
| ε | 128 | w | 2160 |
| Ϛ | 9 | w | 2161 |
| ζ | 6 | w | 2162 |
| η | 16 | w | 2163 |
| θ | 39 | w | 2164 |
| ι | 111 | w | 2165 |
| ια | 5 | w | 2167 |
| ιβ | 3 | w | 2169 |
| ιγ | 2 | w | 2171 |
| ιδ | 1 | w | 2173 |
| ιε | 3 | w | 2175 |
| ιϚ | 2 | w | 2177 |
| ιζ | 1 | w | 2179 |
| Ϛ | 11 | w | 2180 |
| ιε | 4 | w | 2182 |
| κη | 3 | w | 2184 |
| με | 9 | w | 2186 |
| ἑξάγωνοι | 1 | w | 2194 |
| 12 | 1 | w | 2196 |
| πενταγώνους | 2 | w | 2207 |
| corr | 3 | w | 2211 |
| ex | 3 | w | 2214 |
| τετραγώνους | 3 | w | 2225 |
| A | 11 | w | 2226 |
| 13 | 1 | w | 2229 |
| ἡ | 4 | w | 2230 |
| supra | 1 | w | 2235 |
| vs | 3 | w | 2237 |
| A | 12 | w | 2239 |
| ἀριθμοὺς | 1 | w | 2248 |
| κύβοι | 3 | w | 2253 |
| ὄντες | 1 | w | 2258 |
| τετράγωνοι | 4 | w | 2269 |
| δὲ | 14 | w | 2271 |
| ὄντες | 2 | w | 2276 |
| ἀριθμοὶ | 4 | w | 2283 |
| κυβικὰς | 1 | w | 2290 |
| ἔχουσι | 2 | w | 2296 |
| τὰς | 2 | w | 2299 |
| πλευράς | 1 | w | 2306 |
| ὅτι | 2 | w | 2310 |
| δὲ | 15 | w | 2312 |
| τῶν | 14 | w | 2315 |
| πολλαπλασίων | 3 | w | 2327 |
| ἀριθμιῶν | 1 | w | 2335 |
| οἱ | 12 | w | 2337 |
| μὲν | 4 | w | 2340 |
| παρʼ | 1 | w | 2344 |
| ἔνα | 1 | w | 2347 |
| ἀπὸ | 7 | w | 2350 |
| μονάδος | 7 | w | 2357 |
| τετράγωνοί | 1 | w | 2367 |
| εἰσιν | 1 | w | 2372 |
| οἱ | 13 | w | 2375 |
| δὲ | 16 | w | 2377 |
| παρὰ | 1 | w | 2381 |
| βʹ | 1 | w | 2383 |
| κύβοι | 4 | w | 2388 |
| οἱ | 14 | w | 2391 |
| δὲ | 17 | w | 2393 |
| παρὰ | 2 | w | 2397 |
| εʹ | 1 | w | 2399 |
| κύβοι | 5 | w | 2404 |
| ἄμα | 1 | w | 2407 |
| καὶ | 15 | w | 2410 |
| τε- | 2 | w | 2413 |
| τράγωνοί | 2 | w | 2421 |
| εἰσι | 3 | w | 2425 |
| δῆλον | 2 | w | 2431 |
| οὕτως | 2 | w | 2436 |
| ἐν | 8 | w | 2439 |
| μὲν | 5 | w | 2442 |
| τοῖς | 7 | w | 2446 |
| διπλασίοις | 1 | w | 2456 |
| κειμένων | 1 | w | 2465 |
| πλειόνων | 1 | w | 2473 |
| ἀριθμῶν | 4 | w | 2480 |
| οἷον | 2 | w | 2484 |
| αʹ | 1 | w | 2486 |
| βʹ | 2 | w | 2488 |
| γʹ | 1 | w | 2490 |
| δʼ | 1 | w | 2492 |
| εʹ | 2 | w | 2494 |
| ςʹ | 1 | w | 2496 |
| ζʹ | 1 | w | 2498 |
| ηʹ | 1 | w | 2500 |
| θ | 44 | w | 2501 |
| ι | 139 | w | 2502 |
| ια | 6 | w | 2504 |
| ιγ | 3 | w | 2506 |
| ιδ | 2 | w | 2508 |
| ιεʹ | 1 | w | 2511 |
| ιϛʹ | 1 | w | 2514 |
| ιζ | 2 | w | 2516 |
| ιηʹ | 1 | w | 2519 |
| ιθʹ | 1 | w | 2522 |
| κʹ | 1 | w | 2524 |
| καʹ | 1 | w | 2527 |
| κβʹ | 1 | w | 2530 |
| κγʹ | 1 | w | 2533 |
| κδʹ | 1 | w | 2536 |
| κε | 8 | w | 2538 |
| πρῶτος | 1 | w | 2544 |
| διπλάσιος | 1 | w | 2553 |
| ὁ | 5 | w | 2554 |
| β | 22 | w | 2555 |
| εἶτα | 9 | w | 2560 |
| ὁ | 6 | w | 2561 |
| δʹ | 2 | w | 2563 |
| ὅς | 1 | w | 2566 |
| ἐστι | 2 | w | 2570 |
| τετράγωνος | 1 | w | 2580 |
| εἶτα | 10 | w | 2585 |
| ὁ | 7 | w | 2586 |
| ηʹ | 3 | w | 2588 |
| ὅς | 2 | w | 2591 |
| ἐστι | 3 | w | 2595 |
| κύβος | 1 | w | 2600 |
| εἶτα | 11 | w | 2605 |
| ιϛʹ | 2 | w | 2608 |
| ὅς | 3 | w | 2611 |
| ἐστι | 4 | w | 2615 |
| τετράγωνος | 2 | w | 2625 |
| εἴτα | 1 | w | 2630 |
| ὁ | 8 | w | 2631 |
| λβ | 1 | w | 2633 |
| μεθʼ | 1 | w | 2638 |
| ὅν | 1 | w | 2640 |
| ὁ | 9 | w | 2641 |
| ἔδʹ | 1 | w | 2644 |
| ὅς | 4 | w | 2647 |
| ἐστι | 5 | w | 2651 |
| τετράγωνος | 3 | w | 2661 |
| ἅμα | 2 | w | 2664 |
| καὶ | 16 | w | 2667 |
| κύβος | 2 | w | 2672 |
| εἶτα | 12 | w | 2677 |
| ρκη | 1 | w | 2680 |
| μεθʼ | 2 | w | 2685 |
| ὅν | 2 | w | 2687 |
| σνςʹ | 1 | w | 2691 |
| ὅς | 5 | w | 2694 |
| ἐστι | 6 | w | 2698 |
| τετράγωνος | 4 | w | 2708 |
| καὶ | 17 | w | 2712 |
| μέχρις | 2 | w | 2718 |
| ἀπείρου | 2 | w | 2725 |
| ὁ | 10 | w | 2726 |
| αὐτὸς | 2 | w | 2731 |
| λόγος | 2 | w | 2736 |
| καὶ | 18 | w | 2740 |
| ἐν | 9 | w | 2742 |
| τῷ | 1 | w | 2744 |
| τριπλασίῳ | 1 | w | 2753 |
| εὑρεθήσονται | 1 | w | 2765 |
| οἱ | 15 | w | 2767 |
| παρʼ | 2 | w | 2771 |
| ἕνα | 5 | w | 2774 |
| τετράγωνοι | 5 | w | 2784 |
| καὶ | 19 | w | 2788 |
| ἐν | 10 | w | 2790 |
| τῷ | 2 | w | 2792 |
| πεν- | 1 | w | 2796 |
| ταπλασίῳ | 1 | w | 2804 |
| καὶ | 20 | w | 2808 |
| κατὰ | 5 | w | 2812 |
| τοὺς | 5 | w | 2816 |
| ἑξῆς | 5 | w | 2820 |
| πολλαπλασίους | 1 | w | 2833 |
| ὁμοίως | 2 | w | 2840 |
| δὲ | 18 | w | 2842 |
| εὑρεθήσονται | 2 | w | 2854 |
| καὶ | 21 | w | 2857 |
| οἱ | 16 | w | 2859 |
| δύο | 2 | w | 2862 |
| διαλείποντες | 4 | w | 2874 |
| ἐν | 11 | w | 2876 |
| τοῖς | 8 | w | 2880 |
| πολλα- | 1 | w | 2886 |
| πλασίοις | 2 | w | 2894 |
| κύβοι | 6 | w | 2899 |
| πάντες | 3 | w | 2905 |
| καὶ | 22 | w | 2909 |
| οἱ | 17 | w | 2911 |
| εʹ | 4 | w | 2913 |
| διαλείποντες | 5 | w | 2925 |
| κύβοι | 7 | w | 2930 |
| ἂμα | 1 | w | 2933 |
| καὶ | 23 | w | 2936 |
| τετράγωνοι | 6 | w | 2946 |
| ἰδίως | 1 | w | 2952 |
| δὲ | 19 | w | 2954 |
| τοῖς | 9 | w | 2958 |
| τετραγώόνοις | 1 | w | 2970 |
| συμβέβηκεν | 1 | w | 2980 |
| ἤτοι | 1 | w | 2984 |
| τρίτον | 1 | w | 2990 |
| ἔχειν | 1 | w | 2995 |
| ἢ | 2 | w | 2996 |
| μονάδος | 8 | w | 3003 |
| ἀφαιρεθείσης | 1 | w | 3015 |
| τρίτον | 2 | w | 3021 |
| ἔχειν | 2 | w | 3026 |
| πάντως | 1 | w | 3032 |
| ἢ | 3 | w | 3034 |
| πάλιν | 2 | w | 3039 |
| τέταρτον | 1 | w | 3047 |
| ἔχειν | 3 | w | 3052 |
| ἢ | 4 | w | 3053 |
| μονάδος | 9 | w | 3060 |
| ἀφαιρεθείσης | 2 | w | 3072 |
| τέταρτον | 2 | w | 3080 |
| ἔχειν | 4 | w | 3085 |
| πάντως | 2 | w | 3091 |
| καὶ | 24 | w | 3095 |
| τὸν | 2 | w | 3098 |
| μὲν | 6 | w | 3101 |
| μονάδος | 10 | w | 3108 |
| ἀφαιρε- | 1 | w | 3115 |
| θείσης | 4 | w | 3121 |
| τρίτον | 3 | w | 3127 |
| ἔχοντα | 1 | w | 3133 |
| ἔχειν | 5 | w | 3138 |
| καὶ | 25 | w | 3141 |
| τέταρτον | 3 | w | 3149 |
| πάντως | 3 | w | 3155 |
| ὡς | 3 | w | 3158 |
| ὁ | 12 | w | 3159 |
| δʹ | 4 | w | 3161 |
| τὸν | 3 | w | 3165 |
| δὲ | 20 | w | 3167 |
| μονάδος | 11 | w | 3174 |
| ἀφαιρεθείσης | 3 | w | 3186 |
| τέταρτον | 4 | w | 3194 |
| ἔχοντα | 2 | w | 3200 |
| ἔχειν | 6 | w | 3205 |
| τρίτον | 4 | w | 3211 |
| πάντως | 4 | w | 3217 |
| ὡς | 4 | w | 3220 |
| ὁ | 13 | w | 3221 |
| θʹ | 2 | w | 3223 |
| ἢ | 5 | w | 3225 |
| τὸν | 4 | w | 3228 |
| αὐτὸν | 1 | w | 3233 |
| πάλιν | 3 | w | 3238 |
| καὶ | 26 | w | 3241 |
| τρίτον | 5 | w | 3247 |
| ἔχειν | 7 | w | 3252 |
| καὶ | 27 | w | 3255 |
| τέταρτον | 5 | w | 3263 |
| ὡς | 5 | w | 3266 |
| ὁ | 14 | w | 3267 |
| λςʹ | 1 | w | 3270 |
| ἢ | 6 | w | 3272 |
| μηδέτερον | 1 | w | 3281 |
| τούτων | 2 | w | 3287 |
| ἔχοντα | 3 | w | 3293 |
| τοῦτον | 1 | w | 3299 |
| μονάδος | 12 | w | 3306 |
| ἀφαιρεθείσης | 4 | w | 3318 |
| τρίτον | 6 | w | 3324 |
| ἔχειν | 8 | w | 3329 |
| πάν- | 1 | w | 3333 |
| 5 | 3 | w | 3334 |
| ἐν | 12 | w | 3336 |
| μὲν | 7 | w | 3339 |
| τοῖς | 10 | w | 3343 |
| διπλασίοις | 2 | w | 3353 |
| δῆλον | 3 | w | 3358 |
| οὕτως7 | 1 | w | 3364 |
| 6 | 3 | w | 3365 |
| pro | 1 | w | 3368 |
| hac | 1 | w | 3371 |
| numero- | 1 | w | 3378 |
| rum | 1 | w | 3381 |
| serie | 1 | w | 3386 |
| Gelderus | 1 | w | 3394 |
| hanc | 1 | w | 3398 |
| posuit | 1 | w | 3404 |
| αʹ | 3 | w | 3407 |
| βʹ | 4 | w | 3409 |
| δʹ | 5 | w | 3411 |
| ηʹ | 4 | w | 3413 |
| ιϛʹ | 3 | w | 3416 |
| λβʹ | 1 | w | 3419 |
| ξδʹ | 1 | w | 3422 |
| ρκηʼ | 1 | w | 3426 |
| σνςʹ | 2 | w | 3430 |
| 13 | 2 | w | 3432 |
| ἐν | 13 | w | 3434 |
| τῶ | 15 | w | 3436 |
| πενταπλασίῳ | 1 | w | 3447 |
| A2 | 1 | w | 3449 |
| οἱ | 18 | w | 3452 |
| παρʹ | 1 | w | 3456 |
| ἕνα | 6 | w | 3459 |
| πενταπλάσιοι | 1 | w | 3471 |
| A1 | 2 | w | 3473 |
| 15 | 1 | w | 3475 |
| διαλείποντες | 6 | w | 3487 |
| ει | 17 | w | 3490 |
| corr | 4 | w | 3494 |
| ex | 4 | w | 3497 |
| ι | 191 | w | 3498 |
| A | 15 | w | 3499 |
| 17 | 1 | w | 3501 |
| sqq | 1 | w | 3504 |
| cf | 2 | w | 3507 |
| Nesselmann | 1 | w | 3518 |
| die | 1 | w | 3521 |
| Algebra | 1 | w | 3528 |
| der | 3 | w | 3531 |
| Griechen | 1 | w | 3539 |
| p | 11 | w | 3540 |
| 227 | 1 | w | 3544 |
| sq | 2 | w | 3546 |
| 24 | 1 | w | 3549 |
| ἤ | 2 | w | 3550 |
| πάντως | 5 | w | 3557 |
| del | 3 | w | 3560 |
| bull | 1 | w | 3565 |
| 25 | 1 | w | 3568 |
| τοῦτον | 2 | w | 3574 |
| corr | 5 | w | 3578 |
| ex | 5 | w | 3581 |
| τούτων | 3 | w | 3587 |
| A | 17 | w | 3588 |
| τως | 9 | w | 3592 |
| ἢ | 7 | w | 3595 |
| μήτε | 1 | w | 3599 |
| τρίτον | 7 | w | 3605 |
| μήτε | 2 | w | 3609 |
| τέταρτον | 6 | w | 3617 |
| ἔχοντα | 4 | w | 3623 |
| μονάδος | 13 | w | 3630 |
| ἀφαιρεθείσης | 5 | w | 3642 |
| καὶ | 28 | w | 3645 |
| τρίτον | 8 | w | 3651 |
| ἔχειν | 9 | w | 3656 |
| καὶ | 29 | w | 3659 |
| τέταρτον | 7 | w | 3667 |
| ὡς | 6 | w | 3670 |
| ὁ | 15 | w | 3671 |
| κε | 10 | w | 3673 |
| ἔτι | 1 | w | 3677 |
| τῶν | 15 | w | 3680 |
| ἀριθμῶν | 5 | w | 3687 |
| οἱ | 19 | w | 3689 |
| μὲν | 8 | w | 3692 |
| ἰσάκις | 1 | w | 3698 |
| ἴσοι | 1 | w | 3702 |
| τετράγωνοί | 2 | w | 3712 |
| εἰσιν | 2 | w | 3717 |
| οἱ | 20 | w | 3720 |
| δὲ | 21 | w | 3722 |
| ἀνισάκις | 1 | w | 3730 |
| ἄνισοι | 1 | w | 3736 |
| ἑτερομήκεις | 1 | w | 3747 |
| καὶ | 30 | w | 3750 |
| προμήκεις | 1 | w | 3759 |
| καὶ | 31 | w | 3763 |
| ἁπλῶς | 1 | w | 3768 |
| οἱ | 21 | w | 3770 |
| διχῶς | 1 | w | 3775 |
| πολλαπλασιαζόμενοι | 1 | w | 3793 |
| ἐπίπεδοι | 1 | w | 3801 |
| οἱ | 22 | w | 3804 |
| δὲ | 22 | w | 3806 |
| τριχῶς | 1 | w | 3812 |
| στερεοί | 1 | w | 3819 |
| λέγονται | 1 | w | 3828 |
| δὲ | 23 | w | 3830 |
| ἐπίπεδοι | 2 | w | 3838 |
| ἀριθμοὶ | 5 | w | 3845 |
| καὶ | 32 | w | 3848 |
| τρίγωνοι | 5 | w | 3856 |
| καὶ | 33 | w | 3859 |
| τετράγωνοι | 7 | w | 3869 |
| καὶ | 34 | w | 3872 |
| στερεοὶ | 1 | w | 3879 |
| καὶ | 35 | w | 3882 |
| τἆλλα | 1 | w | 3887 |
| οὐ | 1 | w | 3889 |
| κυ- | 1 | w | 3892 |
| ρίως | 1 | w | 3896 |
| ἀλλὰ | 2 | w | 3900 |
| καθʼ | 1 | w | 3904 |
| ὁμοιότητα | 1 | w | 3913 |
| τῶν | 16 | w | 3916 |
| χωρίων | 1 | w | 3922 |
| ἃ | 1 | w | 3923 |
| καταμετροῦ- | 1 | w | 3934 |
| σιν | 5 | w | 3937 |
| ὁ | 17 | w | 3939 |
| γὰρ | 5 | w | 3942 |
| δ | 88 | w | 3943 |
| ἐπεὶ | 1 | w | 3948 |
| τετράγωνον | 1 | w | 3958 |
| χωρίον | 1 | w | 3964 |
| καταμετρεῖ | 1 | w | 3974 |
| ἀπʼ | 1 | w | 3978 |
| αὐτοῦ | 1 | w | 3983 |
| καλεῖται | 1 | w | 3991 |
| τετράγωνος | 5 | w | 4001 |
| καὶ | 36 | w | 4005 |
| ὁ | 18 | w | 4006 |
| Ϛ | 12 | w | 4007 |
| διὰ | 1 | w | 4010 |
| τὰ | 10 | w | 4012 |
| αὐτὰ | 2 | w | 4016 |
| ἑτερο- | 1 | w | 4022 |
| μήκης | 1 | w | 4027 |